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Finding the Fourth Proportional to 9,770.40, 14,612.40 and 8,215.20

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Solution

The fourth proportional to 9,770.40, 14,612.40 and 8,215.20 is: 12,286.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,770.40 : 14,612.40 = 8,215.20 : x
  2. Step 2: Convert to fraction form
    9,770.40/14,612.40 = 8,215.20/x
  3. Step 3: Cross multiply
    9,770.40x = 14,612.40 × 8,215.20
  4. Step 4: Simplify right side
    9,770.40x = 120,043,788.48
  5. Step 5: Solve for x
    x = 120,043,788.48/9,770.40
  6. Step 6: Final answer
    x = 12,286.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.